This paper continues the study of the theory of soft ?-topological spaces and presentsfor this theory new definitions, characterizations, and results concerning soft ?-boundary, soft ?-exterior, soft ?-generalized closed sets, soft?-sets, and soft strongly pu-?-continuity
📌 3 Key Takeaways
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Objective & Hypothesis:For dealing with uncertainties researchers introduced the concept ofsoft sets.
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Key Findings & Data:Georgiou et al. [10] defined several basic notions on soft?-topology and they studied many properties of them.
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Conclusion & Impact:This paper continues the study of the theory of soft ?-topological spaces and presentsfor this theory new definitions, characterizations, and results concerning soft ?-boundary, soft ?-exterior, soft ?-generalized closed sets, soft?-sets, and soft strongly pu-?-continuity
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
For dealing with uncertainties researchers introduced the concept ofsoft sets. Georgiou et al. [10] defined several basic notions on soft?-topology and they studied many properties of them. This paper continues the study of the theory of soft ?-topological spaces and presentsfor this theory new definitions, characterizations, and results concerning soft ?-boundary, soft ?-exterior, soft ?-generalized closed sets, soft?-sets, and soft strongly pu-?-continuity
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Cite This Article
SAYED, O. R., KHALIL, A. M. (2022). Some properties of soft -topology. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1133–1145. https://ajindex.com/articles/530276
Aktas, H. and Ca?gman, N. Soft sets and soft groups, Inf. Sci., 177 (2007), 2726-2735.
Ali, M. I. Feng, F. Liu, X. Min, W. K. and Shabir, M. On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), 1547-1553. A. Aygüno?glu and H. Aygün, Some notes on soft topological spaces, Neural. Comput. Appl., (1) (2012), 113-119. Ca?gman, N. and Enginoglu, S. Soft set theory and uni-int decision making, Eur. J. Oper. Res., 207 (2010), 848-855. Ca?gman, N. and Enginoglu, S. Soft matrix theory and its decision making, Comput. Math. Appl., 59 (2010), 3308-3314. Ca?gman, N. Karatas, S. and Enginoglu, S. Soft topology, Comput. Math. Appl., 62 (2011), 358. Chen, D. Tsang, E. C. C. Yeung, D. S. and Wang, X. The parameterization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005), 757-763.
Feng, F. Jun, Y. B. Zhao, X. Z. Soft semirings, Comput. Math. Appl., 56 (2008), 2621-2628.
Georgiou, D. N. and Megaritis, A. C. Soft Set Theory and Topology, Appl. Gen. Topol., 15 (1) (2014), 93-109.
Georgiou, D. N. Megaritis, A. C. and Petropoulos, V. I. On soft topological spaces, Appl. Math. Inf. Sci., 7 (2013), 1889-1901.
Hussain, S. and Ahmad, B. Some properties of soft topological spaces, Comput. Math. Appl., (2011), 4058-4067.
Kannan, K. Soft generalized closed sets in soft topological spaces, J. Theo. Appl. Inf. Techn., (2012), 17-21.
Kazanci, O. Yilmaz, S. and Yamak, S. Soft Sets and Soft BCH-Algebras, Hacet. J. Math. Stat., 39 (2010), 205-217.
Kharal, A. and Ahmad, B. Mappings of soft classes, New. Math. Nat. Comput., 7 (3) (2011), 481. Maji, P. K. Roy, A. R. and Biswas, R. An application of soft sets in a decision making problem, Comput. Math. Appl., 44 (2002), 1077-1083.
Maji, P. K. Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl., 45 (2003), 562. Maji, P. K. Biswas, R. and Roy, A. R., Fuzzy soft sets, J. Fuzzy Math., 9 (2001), 589-602.
Majumdar, P. and Samanta, S. K. Similarity measure of soft sets, New. Math. Nat. Comput., (2008), 1-12.
Min, W. K. A note on soft topological spaces, Comput. Math. Appl., 62 (2011), 3524-3528.
Molodtsov, D. A. Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19-31.
Molodtsov, D. A. The description of a dependence with the help of soft sets, J. Comput. Sys. Sc. Int., 40 (2001), 977-984.
Molodtsov, D. A. The theory of soft sets (in Russian), URSS Publishers, Moscow, (2004).
Molodtsov, D. A. Leonov, V. Y. and Kovkov, D. V. Soft sets technique and its application, Nech. Siste. Myag